Performance Task Objectives
· Multiply whole numbers and fractions
Sunshine State Standards
· MA.A.1.2.2
· MA.A.3.2.2
· MA.A.3.2.3
Materials
· Student recording sheet
· Counting chips (optional)
· Calculator (optional)
· Paper and pencil
Student arrangement
· Individual or small group
Task
Present the problem on the student Recording Sheet to your students.
Performance Criteria
· Does the student understand what “finding a fraction of a number ” means?
· Can the student determine prices after each 10-day interval?
· Does the student use an appropriate strategy for determining all possible
combinations of items to be purchased after 10 days?
· Can the student explain why the designated purchases could or could not
be made?
Solve this problem :
A warehouse sells clothing at a fraction of its original cost. The table
below shows the fraction off the original price for clothing that remains in
the warehouse after 10 days, 20 days, and 30 days.
| WAREHOUSE PRICES |
| Item |
Price |
After 10 Days |
After 20 Days |
After 30 Days |
| Jacket |
$120 |
1/4 off |
1/3 off |
1/2 off |
| Shoes |
$40 |
1/5 off |
2/5 off |
3/5 off |
| Shirt |
$12 |
1/4 off |
1/3 off |
2/3 off |
1. Find the price of the items after each 10-day period to
complete the
chart below . Show how you arrived at each answer.
| WAREHOUSE PRICES |
| Item |
Price |
After 10 Days |
After 20 Days |
After 30 Days |
| Jacket |
$120 |
$90 |
|
|
| Shoes |
$40 |
|
|
|
| Shirt |
$12 |
|
|
$4.00 |
Suppose you have $100.00 to spend.
2. Within the range of $90.00 to $100.00, what are all
possible
combinations of items you could buy after 10 days?
3. Would you have enough money to buy 2 jackets after 20
days? Why
or why not?
4. Could you buy all 3 items if you waited until after 30
days?
Remember, you only have $100.00 to spend. Why or why not?
